Geometric Proofs Practice

Geometric Proofs Practice

9th Grade

15 Qs

quiz-placeholder

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Geometric Proofs Practice

Geometric Proofs Practice

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Medium

CCSS
7.G.B.5, HSG.SRT.B.5, HSA.REI.A.1

+4

Standards-aligned

Created by

Tricia Quade

Used 885+ times

FREE Resource

About this resource

This quiz focuses on geometric proofs and the logical reasoning required to justify each step in a formal proof sequence. Designed for grade 9 students, this assessment targets the foundational skills of identifying definitions, properties, and postulates that validate geometric statements. Students must demonstrate their understanding of fundamental geometric definitions including congruence, midpoint, complementary and supplementary angles, and angle/segment addition. The quiz progresses from basic definitional knowledge to more complex application of properties of equality and congruence, including reflexive, symmetric, and transitive properties. Students need a solid grasp of proof structure, understanding that each statement in a proof must be supported by a valid reason, whether it's given information, a definition, a postulate, or a previously proven theorem. The questions require students to think logically about the flow of mathematical reasoning and select the appropriate justification for each step in the proof process. Created by Tricia Quade, a Mathematics teacher in Singapore who teaches grade 9. This quiz serves as an excellent formative assessment tool to gauge student understanding of proof reasoning before moving into more complex geometric theorems and formal proof writing. Teachers can use this as a warm-up activity to activate prior knowledge, as guided practice during instruction on proof techniques, or as homework to reinforce the day's lesson on geometric reasoning. The quiz effectively prepares students for the rigorous proof-writing expectations they'll encounter throughout their geometry course and supports the development of logical thinking skills essential for mathematical success. This assessment aligns with Common Core State Standards G-CO.9 and G-CO.10, which emphasize proving geometric theorems and using coordinate geometry to prove simple geometric theorems algebraically, as well as supporting the Mathematical Practice Standard MP.3 regarding constructing viable arguments and critiquing the reasoning of others.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the reason?

Definition of congrucent
Definition of midpoint
Definition of segment
Segment Addition 

Tags

CCSS.HSG.SRT.B.4

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the reason?

Definition of Right angle
Definition of obtuse Angle
Definition of angle
Definition of acute angle

Tags

CCSS.4.G.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the reason?

Transitive 
Substitution
Middle Man
Replacing 

Tags

CCSS.HSA.REI.C.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the reason?

Definition of Complementary
Definition of 180 
Definition of supplementary
Angle Addition

Tags

CCSS.7.G.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the reason?

Angle Addition 
Segment Addition
Definition of Congruence
Definition of Between

Tags

CCSS.HSG.CO.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Reflexive Property of Equality
Symmetric Property of Equality
Symmetric Property of Congruence
Reflexive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Associative Property
Commutative Property
Distributive Property
Combine Like Terms

Tags

CCSS.HSA.REI.A.1

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